Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the null hypothesis value, 
is the standard deviation and n is the size of the sample.
In this problem:
So
The value of the test statistic is
Answer: The radius of the circular rug is 6 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
<em>Area of a circle (A) = pi r²
</em>
Where r is the radius:
Replacing with the values given:
36 pi=pi r²
Dividing both sides by pi:
36 = r²
√36= r
r = 6 meters
So, the radius of the circular rug is 6 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:
90 more SUVs were sold than passenger cars. In other words:
We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:
Combine like terms:
Subtract 90 from both sides:
Divide both sides by 2:
So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!
Answer:
Hey. I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.
Step-by-step explanation:
So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours. 40/8 = 5. He walks 5 dogs an hour. Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour. 5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.
Answer:
3600 miles on 240 gal
Step-by-step explanation:
80 gal can go 1200
160 gal can go 2400
240 gal can go 3600
